A Hierarchical Model of a Vector Nash Equilibrium Search in a Control Problem under Conflict and Uncertainty

Abstract

A hierarchical model of a vector Nash equilibrium search under uncertainty is developed. The sufficient conditions for a vector Nash equilibrium of a noncooperative game under uncertainty are formulated, which can be used as a criterion to achieve the required degree of nonquilibrium for an acceptable solution to the problem of multi-object multicriteria systems’ control optimization under conflict and uncertainty.

Keywords

• noncooperative game under uncertainty
• vector Nash equilibrium under uncertainty
• hierarchical coevolutionary algorithm
• hierarchical model
• vector minimax